The axial curvature for corank 1 singular surfaces

DOI10.2748/tmj.20210322OpenAlexW4298149039MaRDI QIDQ2083521

Kentaro Saji, Raul Oset Sinha

Publication date: 11 October 2022

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08823

zbMATH Keywords

axial curvaturecorank 1 singular surfacecurvature parabola

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45)

Related Items (1)

Axial curvatures for corank 1 singular \(n\)-manifolds in \(\mathbb{R}^{n+k}\)

Cites Work

• Unnamed Item
• Curvature locus and principal configurations of submanifolds of Euclidean space
• Lines of axial curvature on surfaces immersed in \(\mathbb{R}^4\)
• Relating second order geometry of manifolds through projections and normal sections
• A relation between the curvature ellipse and the curvature parabola
• Principal curvatures and parallel surfaces of wave fronts
• Projections of surfaces in \(\mathbb R^4\) to \(\mathbb R^3\) and the geometry of their singular images
• Contact properties of surfaces in \({\mathbb R}^3\) with corank 1 singularities
• The geometry of fronts
• Singularities of flat fronts in hyperbolic space
• Intrinsic invariants of cross caps
• Geometric Invariants of Cuspidal Edges
• On the Classification of Germs of Maps from R² to R³
• Recognition Problem of Frontal Singularities
• Fronts of Whitney umbrella – a differential geometric approach via blowing up
• Intrinsic properties of surfaces with singularities
• Surfaces in $\mathbb{R}^4$ and their projections to 3-spaces

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